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</head><body><div id="sidebar"><div id="menu-mask"></div><div id="sidebar-menus"><div class="author-avatar"><img class="avatar-img" src="/everyday/img/image011.png" onerror="onerror=null;src='/img/friend_404.gif'" alt="avatar"/></div><div class="site-data"><div class="data-item is-center"><div class="data-item-link"><a href="/everyday/archives/"><div class="headline">文章</div><div class="length-num">28</div></a></div></div><div class="data-item is-center"><div class="data-item-link"><a href="/everyday/tags/"><div class="headline">标签</div><div class="length-num">19</div></a></div></div><div class="data-item is-center"><div class="data-item-link"><a href="/everyday/categories/"><div class="headline">分类</div><div class="length-num">4</div></a></div></div></div><hr/><div class="menus_items"><div class="menus_item"><a class="site-page" href="/everyday/"><i class="fa-fw fas fa-home"></i><span> 首页</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/archives/"><i class="fa-fw fas fa-archive"></i><span> 归档</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></div><div class="menus_item"><a class="site-page" href="javascript:void(0);"><i class="fa-fw fas fa-list"></i><span> 列表</span><i class="fas fa-chevron-down expand"></i></a><ul class="menus_item_child"><li><a class="site-page" href="/everyday/music/"><i class="fa-fw fas fa-music"></i><span> 音乐</span></a></li><li><a class="site-page" href="/everyday/movies/"><i class="fa-fw fas fa-video"></i><span> 电影</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/everyday/link/"><i class="fa-fw fas fa-link"></i><span> 友情链接</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div></div></div></div><div class="post" id="body-wrap"><header class="post-bg" id="page-header" style="background-image: url(/everyday/img/%E5%9B%BE%E7%89%8725.jpg)"><nav id="nav"><span id="blog_name"><a id="site-name" href="/everyday/">个人博客</a></span><div id="menus"><div class="menus_items"><div class="menus_item"><a class="site-page" href="/everyday/"><i class="fa-fw fas fa-home"></i><span> 首页</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/archives/"><i class="fa-fw fas fa-archive"></i><span> 归档</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></div><div class="menus_item"><a class="site-page" href="javascript:void(0);"><i class="fa-fw fas fa-list"></i><span> 列表</span><i class="fas fa-chevron-down expand"></i></a><ul class="menus_item_child"><li><a class="site-page" href="/everyday/music/"><i class="fa-fw fas fa-music"></i><span> 音乐</span></a></li><li><a class="site-page" href="/everyday/movies/"><i class="fa-fw fas fa-video"></i><span> 电影</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/everyday/link/"><i class="fa-fw fas fa-link"></i><span> 友情链接</span></a></div><div class="menus_item"><a class="site-page" href="/everyday/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div></div><div id="toggle-menu"><a class="site-page"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="post-info"><h1 class="post-title">02-25算法学习</h1><div id="post-meta"><div class="meta-firstline"><span class="post-meta-date"><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class="post-meta-label">发表于</span><time class="post-meta-date-created" datetime="2021-02-25T15:02:15.000Z" title="发表于 2021-02-25 23:02:15">2021-02-25</time><span class="post-meta-separator">|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class="post-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2021-04-09T15:50:50.736Z" title="更新于 2021-04-09 23:50:50">2021-04-09</time></span><span class="post-meta-categories"><span class="post-meta-separator">|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class="post-meta-categories" href="/everyday/categories/%E7%AE%97%E6%B3%95/">算法</a></span></div><div class="meta-secondline"><span class="post-meta-separator">|</span><span class="post-meta-pv-cv"><i class="far fa-eye fa-fw post-meta-icon"></i><span class="post-meta-label">阅读量:</span><span id="busuanzi_value_page_pv"></span></span></div></div></div></header><main class="layout" id="content-inner"><div id="post"><article class="post-content" id="article-container"><h3 id="认真琢磨一下动态规划算法"><a href="#认真琢磨一下动态规划算法" class="headerlink" title="认真琢磨一下动态规划算法"></a>认真琢磨一下动态规划算法</h3><p>先从简单题开始写起</p>
<h2 id="买卖股票的最佳时机"><a href="#买卖股票的最佳时机" class="headerlink" title="买卖股票的最佳时机"></a><a target="_blank" rel="noopener" href="https://leetcode-cn.com/problems/best-time-to-buy-and-sell-stock/">买卖股票的最佳时机</a></h2><h3 id="题目：给定一个数组-prices-，它的第-i-个元素-prices-i-表示一支给定股票第-i-天的价格。你只能选择-某一天-买入这只股票，并选择在-未来的某一个不同的日子-卖出该股票。设计一个算法来计算你所能获取的最大利润。返回你可以从这笔交易中获取的最大利润。如果你不能获取任何利润，返回-0-。"><a href="#题目：给定一个数组-prices-，它的第-i-个元素-prices-i-表示一支给定股票第-i-天的价格。你只能选择-某一天-买入这只股票，并选择在-未来的某一个不同的日子-卖出该股票。设计一个算法来计算你所能获取的最大利润。返回你可以从这笔交易中获取的最大利润。如果你不能获取任何利润，返回-0-。" class="headerlink" title="题目：给定一个数组 prices ，它的第 i 个元素 prices[i] 表示一支给定股票第 i 天的价格。你只能选择 某一天 买入这只股票，并选择在 未来的某一个不同的日子 卖出该股票。设计一个算法来计算你所能获取的最大利润。返回你可以从这笔交易中获取的最大利润。如果你不能获取任何利润，返回 0 。"></a>题目：给定一个数组 prices ，它的第 i 个元素 prices[i] 表示一支给定股票第 i 天的价格。你只能选择 某一天 买入这只股票，并选择在 未来的某一个不同的日子 卖出该股票。设计一个算法来计算你所能获取的最大利润。返回你可以从这笔交易中获取的最大利润。如果你不能获取任何利润，返回 0 。</h3><blockquote>
<p>示例 1：</p>
<p>输入：[7,1,5,3,6,4]<br>输出：5<br>解释：在第 2 天（股票价格 = 1）的时候买入，在第 5 天（股票价格 = 6）的时候卖出，最大利润 = 6-1 = 5 。<br>  注意利润不能是 7-1 = 6, 因为卖出价格需要大于买入价格；同时，你不能在买入前卖出股票。</p>
<p>示例 2：</p>
<p>输入：prices = [7,6,4,3,1]<br>输出：0<br>解释：在这种情况下, 没有交易完成, 所以最大利润为 0。</p>
</blockquote>
<p>思路：</p>
<p>前i天的最大收益 = max{前i-1天的最大收益，第i天的价格-前i-1天中的最小价格}</p>
<ul>
<li>自己的菜鸡代码：</li>
</ul>
<figure class="highlight java"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br></pre></td><td class="code"><pre><span class="line"><span class="class"><span class="keyword">class</span> <span class="title">Solution</span> </span>&#123;</span><br><span class="line">    <span class="function"><span class="keyword">public</span> <span class="keyword">int</span> <span class="title">maxProfit</span><span class="params">(<span class="keyword">int</span>[] prices)</span> </span>&#123;</span><br><span class="line">        <span class="comment">// 下意识就是滑窗啊啊啊啊啊啊啊啊啊</span></span><br><span class="line">        <span class="keyword">if</span>(prices.length &lt;= <span class="number">1</span>) <span class="keyword">return</span> <span class="number">0</span>;</span><br><span class="line">        <span class="keyword">int</span> max = <span class="number">0</span>, min = prices[<span class="number">0</span>];</span><br><span class="line">        <span class="keyword">for</span>(<span class="keyword">int</span> i = <span class="number">1</span>; i &lt; prices.length; i++)&#123;</span><br><span class="line">            max = Math.max(max, prices[i] - min);</span><br><span class="line">            min = Math.min(min, prices[i]);</span><br><span class="line">        &#125;</span><br><span class="line">        <span class="keyword">return</span> max;</span><br><span class="line">    &#125;</span><br><span class="line">&#125;</span><br></pre></td></tr></table></figure>


</article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="mailto:undefined">蔡哞哞</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://caixm1025.gitee.io/2021/02/25/02-25%E7%AE%97%E6%B3%95%E5%AD%A6%E4%B9%A0/">https://caixm1025.gitee.io/2021/02/25/02-25%E7%AE%97%E6%B3%95%E5%AD%A6%E4%B9%A0/</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://caixm1025.gitee.io" target="_blank">个人博客</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/everyday/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/">动态规划</a></div><div 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class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span></div><div class="toc-content"><ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E8%AE%A4%E7%9C%9F%E7%90%A2%E7%A3%A8%E4%B8%80%E4%B8%8B%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92%E7%AE%97%E6%B3%95"><span class="toc-number">1.</span> <span class="toc-text">认真琢磨一下动态规划算法</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%B9%B0%E5%8D%96%E8%82%A1%E7%A5%A8%E7%9A%84%E6%9C%80%E4%BD%B3%E6%97%B6%E6%9C%BA"><span class="toc-number"></span> <span class="toc-text">买卖股票的最佳时机</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E9%A2%98%E7%9B%AE%EF%BC%9A%E7%BB%99%E5%AE%9A%E4%B8%80%E4%B8%AA%E6%95%B0%E7%BB%84-prices-%EF%BC%8C%E5%AE%83%E7%9A%84%E7%AC%AC-i-%E4%B8%AA%E5%85%83%E7%B4%A0-prices-i-%E8%A1%A8%E7%A4%BA%E4%B8%80%E6%94%AF%E7%BB%99%E5%AE%9A%E8%82%A1%E7%A5%A8%E7%AC%AC-i-%E5%A4%A9%E7%9A%84%E4%BB%B7%E6%A0%BC%E3%80%82%E4%BD%A0%E5%8F%AA%E8%83%BD%E9%80%89%E6%8B%A9-%E6%9F%90%E4%B8%80%E5%A4%A9-%E4%B9%B0%E5%85%A5%E8%BF%99%E5%8F%AA%E8%82%A1%E7%A5%A8%EF%BC%8C%E5%B9%B6%E9%80%89%E6%8B%A9%E5%9C%A8-%E6%9C%AA%E6%9D%A5%E7%9A%84%E6%9F%90%E4%B8%80%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%9A%84%E6%97%A5%E5%AD%90-%E5%8D%96%E5%87%BA%E8%AF%A5%E8%82%A1%E7%A5%A8%E3%80%82%E8%AE%BE%E8%AE%A1%E4%B8%80%E4%B8%AA%E7%AE%97%E6%B3%95%E6%9D%A5%E8%AE%A1%E7%AE%97%E4%BD%A0%E6%89%80%E8%83%BD%E8%8E%B7%E5%8F%96%E7%9A%84%E6%9C%80%E5%A4%A7%E5%88%A9%E6%B6%A6%E3%80%82%E8%BF%94%E5%9B%9E%E4%BD%A0%E5%8F%AF%E4%BB%A5%E4%BB%8E%E8%BF%99%E7%AC%94%E4%BA%A4%E6%98%93%E4%B8%AD%E8%8E%B7%E5%8F%96%E7%9A%84%E6%9C%80%E5%A4%A7%E5%88%A9%E6%B6%A6%E3%80%82%E5%A6%82%E6%9E%9C%E4%BD%A0%E4%B8%8D%E8%83%BD%E8%8E%B7%E5%8F%96%E4%BB%BB%E4%BD%95%E5%88%A9%E6%B6%A6%EF%BC%8C%E8%BF%94%E5%9B%9E-0-%E3%80%82"><span class="toc-number">1.</span> <span class="toc-text">题目：给定一个数组 prices ，它的第 i 个元素 prices[i] 表示一支给定股票第 i 天的价格。你只能选择 某一天 买入这只股票，并选择在 未来的某一个不同的日子 卖出该股票。设计一个算法来计算你所能获取的最大利润。返回你可以从这笔交易中获取的最大利润。如果你不能获取任何利润，返回 0 。</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url(/everyday/img/%E5%9B%BE%E7%89%8725.jpg)"><div id="footer-wrap"><div class="copyright">&copy;2020 - 2021 By 蔡哞哞</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">好好学习，<a  target="_blank" rel="noopener" href="https://butterfly.js.org/">天天向上</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="darkmode" 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